# Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 125: 31

$v = 0.012~cm/s$

#### Work Step by Step

The minute hand of a clock moves through an angle of $2\pi$ radians in a time of 3600 seconds. We can find the angular speed: $\omega = \frac{\theta}{t}$ $\omega = \frac{2\pi~rad}{3600~s}$ $\omega = \frac{\pi}{1800}~rad/s$ We can find the linear speed: $v = \omega ~r$ $v = (\frac{\pi}{1800}~rad/s)(7~cm)$ $v = 0.012~cm/s$

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